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Non-Archimedean fuzzy metric spaces and Best proximity point theorems

Journal: Sahand Communications in Mathematical Analysis (Vol.9, No. 1)

Publication Date:

Authors : ;

Page : 85-112

Keywords : Fuzzy metric space; Best proximity point; Proximal contraction;

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In this paper, we introduce some new classes of proximal contraction mappings and establish  best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially ordered non-Archimedean fuzzy metric spaces. Moreover, we present an example to illustrate the usability of the obtained results.

Last modified: 2018-02-03 20:15:59